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Caraballo, T., Chueshov, I.D., Marín-Rubio, P. and Real, J. (2007) Existence and Asymptotic Behaviour for Stochastic Heat Equations with Multiplicative Noise in Materials with Memory. Discrete and Continuous Dynamical Systems, 18, Article 253.

has been cited by the following article:

• TITLE: Weak Pullback Attractors of Stochastic Semilinear Degenerate Equations with Memory Driven by Nonlinear Noise

  AUTHORS: Ximeng Liu

  KEYWORDS: Semilinear Degenerate Equation, Weak Pullback Mean Random Attractor, Nonlinear Noise, Memory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.11, November 10, 2025

  ABSTRACT: This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n . We primarily provide sufficient conditions for studying such problems, including the degenerate term div{ a( x )∇u } , nonlinear drift, and diffusion terms. Based on these conditions, we establish the existence of weakly compact pullback absorbing sets and further obtain the existence and uniqueness of weak D -pullback mean random attractors.